Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-08
Phys.Lett.B638:374-381,2006
Physics
High Energy Physics
High Energy Physics - Theory
15 pages. minor clarifications
Scientific paper
10.1016/j.physletb.2006.04.056
Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as ${\cal N}=0$, $U(N)^n$ gauge theories, however, they have mixed $U(1)_p U(1)_q^2$ and $U(1)_p SU(N)_q^2$ triangle anomalies. It is shown how to construct explicitly a compensatory term $\Delta{\cal L}_{comp}$ which restores gauge invariance of ${\cal L}_{eff} = {\cal L} + \Delta {\cal L}_{comp}$ under $U(N)^n$. It can lead to a negative contribution to the U(1) $\beta$-function and hence to one-loop conformality at high energy for all dimensionless couplings.
Frampton Paul H.
Napoli Edoardo Di
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